# From nothing to something II: nonlinear systems via consistent   correlated bang

**Authors:** Sen-Yue Lou

arXiv: 1702.04758 · 2017-06-28

## TL;DR

This paper introduces the 'consistent correlated bang' method to derive nonlinear integrable systems from 'nothing', connecting ancient philosophical ideas with modern nonlinear dynamics.

## Contribution

It presents a novel approach to generate nonlinear integrable systems from fundamental principles using the consistent correlated bang method.

## Key findings

- Derived nonlinear systems include NLS, KdV, KP, and sine-Gordon equations.
- Demonstrated the method's ability to produce known integrable equations.
- Connected philosophical concepts with modern nonlinear dynamics.

## Abstract

Chinese ancient sage Laozi said everything comes from \emph{\bf \em "nothing"}. \rm In the first letter (Chin. Phys. Lett. 30 (2013) 080202), infinitely many discrete integrable systems have been obtained from "nothing" via simple principles (Dao). In this second letter, a new idea, the consistent correlated bang, is introduced to obtain nonlinear dynamic systems including some integrable ones such as the continuous nonlinear Schr\"odinger equation (NLS), the (potential) Korteweg de Vries (KdV) equation, the (potential) Kadomtsev-Petviashvili (KP) equation and the sine-Gordon (sG) equation. These nonlinear systems are derived from nothing via suitable "Dao", the shifted parity, the charge conjugate, the delayed time reversal, the shifted exchange, the shifted-parity-rotation and so on.

## Full text

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## References

5 references — full list in the complete paper: https://tomesphere.com/paper/1702.04758/full.md

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Source: https://tomesphere.com/paper/1702.04758